Atkin-Lehner |
2- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
79184t |
Isogeny class |
Conductor |
79184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-2270363648 = -1 · 216 · 73 · 101 |
Discriminant |
Eigenvalues |
2- -1 -4 7- 2 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-240,-2624] |
[a1,a2,a3,a4,a6] |
Generators |
[40:-224:1] |
Generators of the group modulo torsion |
j |
-1092727/1616 |
j-invariant |
L |
3.9595909107518 |
L(r)(E,1)/r! |
Ω |
0.57580841127382 |
Real period |
R |
0.85957213285258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999929463 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9898e1 79184ba1 |
Quadratic twists by: -4 -7 |